Opuscula Math. 37, no. 6 (2017), 829-837
http://dx.doi.org/10.7494/OpMath.2017.37.6.829

Opuscula Mathematica

# Ideals with linear quotients in Segre products

Gioia Failla

Abstract. We establish that the Segre product between a polynomial ring on a field $$K$$ in $$m$$ variables and the second squarefree Veronese subalgebra of a polynomial ring on $$K$$ in $$n$$ variables has the intersection degree equal to three. We describe a class of monomial ideals of the Segre product with linear quotients.

Keywords: monomial algebras, graded ideals, linear resolutions.

Mathematics Subject Classification: 13A30, 13D45.

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• Gioia Failla
• University of Reggio Calabria, DIIES, Via Graziella, Salita Feo di Vito, Reggio Calabria, Italy
• Communicated by Vicentiu D. Radulescu.
• Revised: 2017-05-11.
• Accepted: 2017-06-18.
• Published online: 2017-09-28.